Suppose measurements (in centimeters) are taken using an instrument. There is error in the measuring process and a measurement is assumed to be distributed N(u, Sigma²), where u is the exact measurement and Sigma² is equal to 0.5. If the (n=10) measurements; 4.7, 5.5, 4.4, 3.3, 4.6, 5.3, 5.2, 4.8, 5.7, 5.3, were obtained, assess the hypothesis H₀ : u=5 by computing the relevant P-value. Also compute a 0.95 confidence interval for the unknown u.